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Finding the Fourth Proportional to 3,726.76, 5,590.86 and 1,261.98

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Solution

The fourth proportional to 3,726.76, 5,590.86 and 1,261.98 is: 1,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.76 : 5,590.86 = 1,261.98 : x
  2. Step 2: Convert to fraction form
    3,726.76/5,590.86 = 1,261.98/x
  3. Step 3: Cross multiply
    3,726.76x = 5,590.86 × 1,261.98
  4. Step 4: Simplify right side
    3,726.76x = 7,055,553.50
  5. Step 5: Solve for x
    x = 7,055,553.50/3,726.76
  6. Step 6: Final answer
    x = 1,893.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.